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Finding the Fourth Proportional to 17,837.37, 24,615.78 and 9,879.75

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Solution

The fourth proportional to 17,837.37, 24,615.78 and 9,879.75 is: 13,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.37 : 24,615.78 = 9,879.75 : x
  2. Step 2: Convert to fraction form
    17,837.37/24,615.78 = 9,879.75/x
  3. Step 3: Cross multiply
    17,837.37x = 24,615.78 × 9,879.75
  4. Step 4: Simplify right side
    17,837.37x = 243,197,752.46
  5. Step 5: Solve for x
    x = 243,197,752.46/17,837.37
  6. Step 6: Final answer
    x = 13,634.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.